Pith Number

pith:BQZFGLQ6

pith:2011:BQZFGLQ6H23NQLRBARTREXCFYC

not attested not anchored not stored refs pending

Copula-based Hierarchical Aggregation of Correlated Risks. The behaviour of the diversification benefit in Gaussian and Lognormal Trees

Jean-Philippe Bruneton

arxiv:1111.1113 v2 · 2011-11-04 · q-fin.RM · q-fin.CP · q-fin.PM · q-fin.ST

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQZFGLQ6H23NQLRBARTREXCFYC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:08:34.418900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c32532e1e3eb6d82e210467125c45c0bdc0c1de8b755212b81a14457a4e3301

Aliases

arxiv: 1111.1113 · arxiv_version: 1111.1113v2 · doi: 10.48550/arxiv.1111.1113 · pith_short_12: BQZFGLQ6H23N · pith_short_16: BQZFGLQ6H23NQLRB · pith_short_8: BQZFGLQ6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BQZFGLQ6H23NQLRBARTREXCFYC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0c32532e1e3eb6d82e210467125c45c0bdc0c1de8b755212b81a14457a4e3301

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed39b5b12a937b8f766784370ccc0ab59f045a877a4d07e5eef851f57e8d239",
    "cross_cats_sorted": [
      "q-fin.CP",
      "q-fin.PM",
      "q-fin.ST"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2011-11-04T12:57:34Z",
    "title_canon_sha256": "3cd9603b4eea1d580715bcacabe26147fd78ed16eb3061a992991be2cb09cbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1113",
    "kind": "arxiv",
    "version": 2
  }
}